应该是等价的,
x=asect
dx = asect.tant dt
sect = x/a
cost = a/x
t= arccos(a/x)
∫√(x^2-a^2)/x dx
=∫ [atant/(asect) ] [asect.tant dt]
=a∫ (tant )^2 dt
=a∫ [(sect )^2 -1 ] dt
=a(tant - t) + C
=a[ √(x^2-a^2)/a + arccos(a/x) ] + C
=√(x^2-a^2) + a.arccos(a/x) + C